50694400 has 81 divisors (see below), whose sum is σ = 126902251. Its totient is φ = 20049920.

The previous prime is 50694389. The next prime is 50694421. The reversal of 50694400 is 449605.

The square root of 50694400 is 7120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 40144896 = 3248^2 + 6336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 569556 + ... + 569644.

Almost surely, 2^50694400 is an apocalyptic number.

50694400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50694400 is the 7120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50694400

50694400 is an abundant number, since it is smaller than the sum of its proper divisors (76207851).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50694400 is an frugal number, since it uses more digits than its factorization.

50694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 50694400 is about 370.1007760556.

The spelling of 50694400 in words is "fifty million, six hundred ninety-four thousand, four hundred".